Combinatorica
Spectra and optimal partitions of weighted graphs
Discrete Mathematics
Spectral Methods for Automatic Multiscale Data Clustering
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1
Generalized quasirandom graphs
Journal of Combinatorial Theory Series B
Quasi-random graphs with given degree sequences
Random Structures & Algorithms
Quasi-Randomness and Algorithmic Regularity for Graphs with General Degree Distributions
SIAM Journal on Computing
Journal of Combinatorial Theory Series B
Testability of minimum balanced multiway cut densities
Discrete Applied Mathematics
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The role of the normalized modularity matrix in finding homogeneous cuts will be presented. We also discuss the testability of the structural eigenvalues and that of the subspace spanned by the corresponding eigenvectors of this matrix. In the presence of a spectral gap between the k-1 largest absolute value eigenvalues and the remainder of the spectrum, this in turn implies the testability of the sum of the inner variances of the k clusters that are obtained by applying the k-means algorithm for the appropriately chosen vertex representatives.